A triangle has two of its sides along the axes, its third side touches the circle `x^2 + y^2 -2ax-2ay+a^2=0`. Find the equation of the locus of the circumcentre of the triangle.

A triangle has two of its sides along the axes, its third side touches the circle x^(2)+y^(2)-4x-4y+4=0 locus of circumcentre of triangle is

A triangle has two of its sides along the axes, its third side touches the circle x^(2)+y^(2)-4x-4y+4=0 locus of circumcentre of triangle is

A triangle has two of its sides along the lines y=m_1x&y=m_2x where m_1, m_2 are the roots of the equation 3x^2+10 x+1=0 and H(6,2) be the orthocentre of the triangle. If the equation of the third side of the triangle is a x+b y+1=0 , then a=3 (b) b=1 (c) a=4 (d) b=-2

If (2,2) is the incentre of triangle formed by x -axis, y-axis and a variable line. Then equation of locus of circumcentre of above triangle is

Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coordinate axes.

If (2,2) is the incentre of triangle formed by x-axis, y-axis and a variable line. Then equation of locus of circumcentre of above triangle is

A circle has two of its diameters along the lines 2x + 3y - 18 =0 and 3x - y - 5 =0 and touches the line x + 2y + 4=0. Equation of the circle is

The equations of the three sides of a triangle are x=2,y+1=0 and x+2y=4 .The coordinates of the circumcentre of the triangle are

The equations of three sides of a triangle are x=5,y-2-0 and x+y=9. The coordinates of the circumcentre of the triangle are